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A class of first-order nonlinear difference equations of neutral type

โœ Scribed by M. Migda; J. Migda


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
508 KB
Volume
40
Category
Article
ISSN
0895-7177

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A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.

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consider the first-order neutral nonlinear difference equation of the form A (in -pnyn-r) + qn ijI IY,-0, Ia' sgn Y~-~, = 0, R = 0, 1, where T > 0, t~i 2 0 (i = 1,2,. . ,m) are integers, {p,} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation withou